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Naya [18.7K]
3 years ago
9

Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Writ

e an inequality that represents this
Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

The inequality can be represented as:

10w+125\geq200

where w represents the number of weeks in which Maria will be able to buy a phone  for least $200.

On solving it we get : w\geq 7.5

Step-by-step explanation:

Given:

Maria wants to buy a phone for at least $200.

She has savings of $125.

She plans to save $10 every week.

To write an inequality for the situation.

Solution:

Let the number of weeks in which Maria will be able to buy a phone be = w

If she saves $10 each week.

Then, in w weeks she will save in dollars = 10w

She already has savings = $125

So her total savings in w weeks in dollars will be = 10w+125

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

10w+125\geq200

Solving for w

Subtracting both sides by 125.

10w+125-125\geq 200-125

10w\geq 75

Dividing both sides by 10.

\frac{10w}{10}\geq \frac{75}{10}

w\geq 7.5

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.

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3 years ago
A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. A nearby town ha accumulated 9 inches of
Svetach [21]

Answer: it will take 2.33 hours for the snow fall in both of the towns be equal.

Step-by-step explanation:

Let x represent the number of hours that it will take for the snow fall in both of the towns be equal.

A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. This means that in x hours, the depth of snow in the town would be

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A nearby town has accumulated 9 inches of snow and the depth is increasing by 3 inches every hour. This means that in x hours, the depth of snow in the town would be

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For the snow fall in both of the towns be equal, the number of hours would be

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8 0
3 years ago
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if you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting one Queen and three king​
Elza [17]

Answer: \frac{16}{270725}

This is the same as writing 16/270725

========================================================

Explanation:

There are 4 ways to draw a queen and 4 ways to select three kings (think of it like saying there are 4 ways to leave a king out). That produces 4*4 = 16 ways total to draw the four cards we want.

This is out of _{52}C_4 = 270,725 ways to select four cards without worrying if we got a queen and/or king. The steps to finding this number are shown below.

Divide the two values found to get the final answer \frac{16}{270725}

--------------------

Scratch Work:

Computing the value of _{52}C_4

Plug in n = 52 and r = 4 into the combination formula below

_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{52} C _{4} = \frac{52!}{4!*(52-4)!}\\\\_{52} C _{4} = \frac{52*51*50*49*48!}{4!*48!}\\\\_{52} C _{4} = \frac{52*51*50*49}{4!} \ \ \text{ .... the 48! terms cancel}\\\\_{52} C _{4} = \frac{52*51*50*49}{4*3*2*1}\\\\_{52} C _{4} = \frac{6,497,400}{24}\\\\_{52} C _{4} = 270,725\\\\

We use the nCr combination formula (instead of the nPr permutation formula) because order doesn't matter with card hands.

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